Cleverley is in the squad for the clash with Chelsea on Sunday, but is unlikely to figure.
Cleverley wrote on Twitter: "Buzzing to be back training and involved with the first team squad."
But Ferguson has revealed Cleverley, who has been out of action with an ankle problem since October, will feature against Chelsea's reserve side on monday.
Ferguson said: "We're a bit better in terms of injuries. I hope Rooney, Nani, Cleverley and Young will all be in the squad.
"Rooney and Nani have trained for the last two days. It's more likely Tom will play against Chelsea reserves on Monday but he'll travel [on Sunday]."